Proceedings of the American Mathematical Society

Author(s): Yong Zhang
Journal: Proc. Amer. Math. Soc. 127 (1999), 3237-3242.
MSC (1991): Primary 46H10; Secondary 46H20, 46B25, 46A32
Posted: April 28, 1999
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Abstract: We introduce the concepts of approximately complemented subspaces of normed spaces and approximately biprojective algebras. We prove that any approximately biprojective Banach algebra with left and right approximate identities does not have a nontrivial nilpotent ideal whose closure is approximately complemented.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46H10, 46H20, 46B25, 46A32

Yong Zhang
Affiliation: Department of Mathematics and Astronomy, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2
Email: umzhan20@cc.umanitoba.ca

DOI: 10.1090/S0002-9939-99-04896-0
PII: S 0002-9939(99)04896-0
Keywords: Nilpotent ideals, approximately complemented, approximately biprojective, amenable Banach algebras, contractible Banach algebras
Received by editor(s): September 24, 1997
Received by editor(s) in revised form: January 23, 1998
Posted: April 28, 1999
Communicated by: Theodore W. Gamelin
Copyright of article: Copyright 1999, American Mathematical Society

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